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Finding the Fourth Proportional to 108,098.16, 149,216.32 and 85,068.24

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Solution

The fourth proportional to 108,098.16, 149,216.32 and 85,068.24 is: 117,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,098.16 : 149,216.32 = 85,068.24 : x
  2. Step 2: Convert to fraction form
    108,098.16/149,216.32 = 85,068.24/x
  3. Step 3: Cross multiply
    108,098.16x = 149,216.32 × 85,068.24
  4. Step 4: Simplify right side
    108,098.16x = 12,693,569,721.68
  5. Step 5: Solve for x
    x = 12,693,569,721.68/108,098.16
  6. Step 6: Final answer
    x = 117,426.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.